5. After each Super Bowl a Most Valuable Player (MVP )is selected. Here is a sum

Question

5. After each Super Bowl a Most Valuable Player (MVP )is selected. Here is a summary table showing the team of the MVPs and the position the MVP plays. ONFC Total DE 2 KR 1 o Imagine choosing a SuperBowl at random, and we o 2 label events as follows: CB, DE, KR, LB, QB, RB, S WR The position played by the MVP AFC, NFC The league the player is part of. QB11 13 24 RB 4 3 S 1 12 WRS 1 6 21 45 Calculate P(QBIAFC). [Express the final answer in proportions (not percentages) and round to three decimal places.] a. Explain what P(QBIAFC) means in the context of field goal attempts. b. Calculate the probability the MVP is a running back (RB) and is part of the NFC. Express the result using the correct notation. c. d. Are events S and AFC mutually exclusive? Give a reason for the answer. Compare probabilities (expressed in the correct notation) to answer this question: "Is MVP more likely to be a quarterback (QB) in the AFC or the NFC?" e. 6. Explain why the question: "Which team in which league had the highest winning score in a Super Bowl game?" may be a good sports question, but not an interesting statistical question.

Explanation / Answer

a. 1/24=0.0417

b. What proportion of AFC league player played the event QB.

c. 0.429

d. The events are not mutually exclusive. In a single game, one player playing in AFC league can play the event S.

e. P(QB|AFC)1/24=0.042

P(QB|NFC)=13/24=0.542

The MVP is more likely to be QB in NFC.

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